IJPAM: Volume 80, No. 3 (2012)
ON SOME CYCLIC HOMOGENEOUS POLYNOMIAL
INEQUALITIES OF DEGREE FOUR IN
REAL VARIABLES UNDER CONSTRAINTS
INEQUALITIES OF DEGREE FOUR IN
REAL VARIABLES UNDER CONSTRAINTS
Vasile Cirtoaje
, Vo Quoc Ba Can
Department of Automatic Control and Computers
University of Ploiesti
100680, Ploiesti, ROMANIA
Can Tho University of Medicine and Pharmacy
VIETNAM



University of Ploiesti
100680, Ploiesti, ROMANIA

VIETNAM
Abstract. We find the best lower and upper bounds of the ratio

for all real numbers






and

which hold for all real

Received: January 28, 2012
AMS Subject Classification: 26D05
Key Words and Phrases: cyclic homogeneous inequality, fourth degree polynomial, three real variables under constraints, equality conditions
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 3